4 papers
Balanced notation for -rigid pairs
Kiyoshi Igusa, Gordana Todorov
We introduce a new notation for -rigid pairs called ``balanced pairs''. The notation allows for simplification of some formulas, for example the Jasso category and it…
Short history of signed exceptional sequences
Kiyoshi Igusa, Gordana Todorov
Whereas exceptional sequences have a long history with many well-known connections to combinatorics, signed exceptional sequences are relatively recent. The authors introduced this…
Representation theory of hereditary artin algebras of finite representation type
Shiping Liu, Gordana Todorov
Let be a hereditary artin algebra of finite representation type. We first determine all hammocks in the Auslander-Reiten quiver $\GaH$ of $\mmod H$, the category of finitely ge…
Picture groups and maximal green sequences
Kiyoshi Igusa, Gordana Todorov
We show that picture groups are directly related to maximal green sequences for valued Dynkin quivers of finite type. Namely, there is a bijection between maximal green sequences a…